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Finding the Fourth Proportional to 393.50, 543.08 and 238.25

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Solution

The fourth proportional to 393.50, 543.08 and 238.25 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.50 : 543.08 = 238.25 : x
  2. Step 2: Convert to fraction form
    393.50/543.08 = 238.25/x
  3. Step 3: Cross multiply
    393.50x = 543.08 × 238.25
  4. Step 4: Simplify right side
    393.50x = 129,388.81
  5. Step 5: Solve for x
    x = 129,388.81/393.50
  6. Step 6: Final answer
    x = 328.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.